Let’s say you have a table of columns for a data that was for a ball, rolling down the hill, filling in the missing data values in the table and determine the acceleration of the rolling ball. Assume the patterns continues in both columns. What would the numbers be?
Time seconds = 0 (start), 2, ?, ?, 8, 10 (end)
Velocity (m/s) = 0 (start), 3, 6, 9, ?, 15 (end
To determine the missing values in the table, we can observe the pattern of the data provided.
From the given table:
Time seconds = 0 (start), 2, ?, ?, 8, 10 (end)
Velocity (m/s) = 0 (start), 3, 6, 9, ?, 15 (end)
The pattern for the time values seems to be increasing by 2 units each time, as it starts with 0 and goes to 2, then 4, and finally 6. Therefore, the missing values in the time column would be 4 and 6.
Similarly, the pattern for the velocity values seems to be increasing by 3 units each time, as it starts with 0 and goes to 3, then 6, and finally 9. Therefore, the missing value in the velocity column would be 12.
Now, we can determine the acceleration of the rolling ball using the formula:
Acceleration (m/s^2) = (Final Velocity - Initial Velocity) / Time
Here, the final velocity is 15 m/s, the initial velocity is 0 m/s, and the time is 10 seconds. Plugging these values into the formula:
Acceleration = (15 - 0) / 10
Acceleration = 1.5 m/s^2
Therefore, the acceleration of the rolling ball is 1.5 m/s^2.